(a)
The value of
(a)
Answer to Problem 16.42P
The value of
Explanation of Solution
Given info: The scalar quantity
The formula to calculate scalar quantity
Here,
Substitute
Conclusion:
Therefore, the value of
(b)
To write: The value of
(b)
Answer to Problem 16.42P
The value of
Explanation of Solution
Given info: The scalar quantity
The given vectors are,
The given two vectors are said to be equal if the magnitude of one vector equals the magnitude of other vector and direction in all the three axes are equal.
Compare the respective coefficient of
Conclusion:
Therefore, the value of
(c)
The proper way to get the answer and convince the student.
(c)
Answer to Problem 16.42P
The comparison of the unit vectors on both sides of equation the given equation is the proper way to convince the student how we arrive at the answer.
Explanation of Solution
Given info: The scalar quantity
The dot product generates a scalar as output. The coefficients of same unit vector are multiplied and added to get the answer.
The unit vectors in three mutually perpendicular axes are
The coefficients of
The coefficient of
Conclusion:
Therefore, the comparison of the unit vectors on both sides of equation the given equation is the proper way to convince the student how we arrive at the answer.
(d)
The values of
(d)
Answer to Problem 16.42P
The value of
Explanation of Solution
Given info: The scalar quantity
Compare the given functional equality for the values of
The given functional equality is,
Rewrite the above equation as,
Compare the above expression.
Conclusion:
Therefore, the value of
(e)
The way to get the answer.
(e)
Answer to Problem 16.42P
The comparison of the given functional equality is helped to get the answer
Explanation of Solution
Given info: The scalar quantity
The given functional equality is,
Add
Compare the R.H.S and L.H.S of the above equality,
Conclusion:
Therefore, the comparison of the given functional equality is helped to get the answer
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Chapter 16 Solutions
Physics For Scientists And Engineers, Technology Update, Loose-leaf Version
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